Yummy Yummy Popcorn, Inc. sells bags of flavored popcorn in a popular mall. As shop owner and operator, you have observed that weekly popcorn sales are well-described by the demand equation: Q = 1,200 - 800P + 2.0A, where A denotes advertising weekly spending (in dollars). You are currently charging $1.50 per bag of popcorn (for which the marginal cost is $.75) and spending $500 per week on advertising. a) Compute the store’s price elasticity and advertising elasticity.
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- Exercise 4.6 An econometrician hired to analyse a local golf course has determined that there are two types of golfers, the regular and the occasional. The annual demand for games from regular players is given by QH = 24 – 0.3P, where P is the price of a round of golf. On the other hand, the annual demand for occasional items is given by QO = 10 – 0.1P. The marginal cost and the average total cost per item are equal to €20. a) If you could distinguish between regular and casual players, what price would be set for each type? How many games would each type of player play? How much profit could the golf course generate? Represent graphically. b) As an alternative to the discrimination of third degree prices, those in charge consider a double tranche rate according to which the members can play as many games as they wish at a price of € 20 per game. How much profit will the golf course generate if it charges all players the same annual fee for becoming a member of the club? What if you…Bluth’s Bananas is considering expanding its retail operations for its one-of-a-kind frozen banana stands on Jones Beach, which is 10 kilometers long. Bluth’s Bananas estimates that the typical day has 2,000 visitors to the beach, spread uniformly, and that each will demand a single frozen banana provided the price plus any disutility of traveling to a stand does not exceed $6. To visit a stand a beach goer incurs a disutility of $0.50 for each 1/4 kilometer they have to walk to reach a stand. Each Bluth Banana costs $0.75 to make and each stand requires an operating fee to be paid to the city of $50 per day. Determine the equilibrium number of stands Bluth’s Bananas should operate on the beach given it is not in competition with any other firm. Determine the profit maximizing price for the bananas and calculate the profit realized by BB in equilibrium.As the manager of Smith Construction, you need to make a decision on the number of homes to build in a new residential area where you are the only builder. Unfortunately, you must build the homes before you learn how strong demand is for homes in this large neighborhood. There is a 40 percent chance of low demand and a 60 percent chance of high demand. The corresponding (inverse) demand functions for these two scenarios are P = 400,000 −450Q and P = 600,000 −250Q, respectively. Your cost function is C(Q) = 170,000 + 256,000Q. How many new homes should you build, and what profits can you expect? a. Number of homes you should build: _____ homes b. Profits you can expect: $
- As the manager of Smith Construction, you need to make a decision on the number of homes to build in a new residential area where you are the only builder. Unfortunately, you must build the homes before you learn how strong demand is for homes in this large neighborhood. There is a 60 percent chance of low demand and a 40 percent chance of high demand. The corresponding (inverse) demand functions for these two scenarios are P = 400,000 −400Q and P = 900,000 −250Q, respectively. Your cost function is C(Q) = 125,000 + 430,000Q. How many new homes should you build, and what profits can you expect? Number of homes you should build: homes Profits you can expect: $As the manager of Smith Construction, you need to make a decision on the number of homes to build in a new residential area where you are the only builder. Unfortunately, you must build the homes before you learn how strong demand is for homes in this large neighborhood. There is a 80 percent chance of low demand and a 20 percent chance of high demand. The corresponding (inverse) demand functions for these two scenarios are P = 300,000 −300Q and P = 800,000 −200Q, respectively. Your cost function is C(Q) = 180,000 + 260,000Q. How many new homes should you build, and what profits can you expect? Give typing answer with explanation and conclusionAs the manager of Smith Construction, you need to make a decision on the number of homes to build in a new residential area where you are the only builder. Unfortunately, you must build the homes before you learn how strong demand is for homes in this large neighborhood. There is a 60 percent chance of low demand and a 40 percent chance of high demand. The corresponding (inverse) demand functions for these two scenarios are P = 300,000 – 400Q and P = 500,000 – 275Q, respectively. Your cost function is C(Q) = 140,000 + 240,000Q. How many new homes should you build, and what profits can you expect? Number of homes you should build: homes Profits you can expect: $
- . The second-largest public utility in the nation is the sole provider of electricity in 32 counties of southern Florida. To meet the monthly demand for electricity in these counties, which is given by the inverse demand function P = 1,200 − 4Q, the utility company has set up two electric generating facilities: Q1 kilowatts are produced at facility 1 and Q2 kilowatts are produced at facility 2 (so Q = Q1 + Q2). The costs of producing electricity at each facility are given by C1(Q1) = 8,000 + 6Q21and C2(Q2) = 6,000 + 3Q22, respectively. Determine the profit-maximizing amounts of electricity to produce at the two facilities, the optimal price, and the utility company’s profits.The second-largest public utility in the nation is the sole provider of electricity in 32counties of southern Florida. To meet the monthly demand for electricity in these counties,which is given by the inverse demand function P = 1,200 − 4Q, the utility companyhas set up two electric generating facilities: Q1 kilowatts are produced at facility 1 andQ2 kilowatts are produced at facility 2 (so Q = Q1 + Q2). The costs of producing electricityat each facility are given by C1(Q1) = 8,000 + 6Q12 and C2(Q2) = 6,000 + 3Q22,respectively. Determine the profit-maximizing amounts of electricity to produce at thetwo facilities, the optimal price, and the utility company’s profits. (LO1, LO8)You are a medical group manager. Some market research has suggested that the price elasticity of demand for the services of your physicians is −4.1. The marginal cost for the average unit of physician service in your group is approximately $536. A. Using the economic pricing model formula, calculate your profit-maximizing price for each unit of physician services. B. Suppose that your medical group is considering new contracts with two particular businesses to provide physician services to their employees. If the marginal cost for each service unit is the same as with the rest of your customers, but the price elasticity of demand from the first new business customers is −0.9, and the second group of business customers is −4.4, how would that change your profit-maximizing price for each of the new groups? Would you recommend that your medical group obtain contracts with both new groups, just one of them or none? Explain your reasoning. C. In order to maximize your profits, what specific…
- You own a private parking lot near City University with a capacity of 600 cars. The demand for parking at this lot is estimated to be Q=1,000 - 2P, where Q is the number of customers with monthly parking passes and P is the monthly parking fee per car. Your fixed costs of operating the parking lot, such as the monthly lease paid to the landlord are £25,000 per month. In addition, your insurance company charges you £20 per car per month for liability coverage and the City of London charges you £30 per car per month as part of its policy to discourage the use of private cars in the city centre. What is your profit maximising price?A manufacturer of automobiles is planning a new model and wants to determine the responsiveness of demand in a number of scenarios. The demand function for the new model is given by the following function: Q = 30000 – 3P + 2000ln(PA) + Y Where Q is the quantity sold of the new model, P is the price for the new model, PA is the price of the competitor’s model and Y is the annual income of a typical purchaser. The new model price is planned to be £20,000 and the competitor is charging £25,000. The annual income of a typical purchaser is £30,000. (a) The manufacturer wishes to determine the responsiveness of the demand for the new model if the price of a competitor’s model changes. Which measure of elasticity would be appropriate to fulfil this requirement? And provide a calculation of its value.Suppose you had a Bresnahan type of econometric study of the mid-range hotel (accommodation) industry, and this results in the following estimated demand and cost equations; Demand: P = 95.67 – 1.64Q + 0.75Y1 + 0.42Y1Q + 0.65 Y2 where P is price, Q is quantity, Y1 is the price of a close substitute and Y2 is consumers’ income. Cost equation: P = 2.67 + 0.21Q – 0.36Y1Q + 0.16W where P is price, Q is quantity, Y1 is the price of a close substitute and W is the wage rate in the industry. Using this information, calculate the Lerner index for this industry. Does market power exist in the industry? Justify your answer